From the given angle measurements, you can’t directly find the measure of angle L. However, you can find the measurement of angle C, which is supplementary to angle L. Describe how to find the measurement of angle C using the measurements of angle A and angle B

The measurement of angle L = 50°.

Solution:

The given image is a rectangle.

The measurement of ∠A = 25°

The measurement of ∠B = 25°

ABC is a triangle.

Sum of the interior angles of the triangle = 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 25° + 25° + m∠C = 180°

⇒ 50° + m∠C = 180°

⇒ m∠C = 180° – 50°

⇒ m∠C = 130°

Sum of the adjacent angles in a straight line = 180°

⇒ m∠C + m∠L = 180°

⇒ 130°  + m∠L = 180°

⇒ m∠L = 180° – 130°

⇒ m∠L = 50°

Hence the measurement of angle L = 50°.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: